%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KLE015+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:40:03 AM UTC 2026
% Result : Theorem 12.87s 2.80s
% Output : Refutation 14.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 13
% Syntax : Number of formulae : 71 ( 53 unt; 0 def)
% Number of atoms : 114 ( 80 equ)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 70 ( 27 ~; 20 |; 17 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 95 ( 91 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_associativity) ).
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_idempotence) ).
fof(f5,axiom,
! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_associativity) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_right_identity) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_left_identity) ).
fof(f8,axiom,
! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_distributivity) ).
fof(f9,axiom,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_distributivity) ).
fof(f11,axiom,
! [X0] : multiplication(zero,X0) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_annihilation) ).
fof(f14,axiom,
! [X0,X1] :
( complement(X1,X0)
<=> ( multiplication(X0,X1) = zero
& multiplication(X1,X0) = zero
& addition(X0,X1) = one ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',test_2) ).
fof(f15,axiom,
! [X0,X1] :
( test(X0)
=> ( c(X0) = X1
<=> complement(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',test_3) ).
fof(f17,conjecture,
! [X0,X1] :
( ( test(X1)
& test(X0) )
=> multiplication(multiplication(addition(X0,X1),c(X0)),c(X1)) = zero ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f18,negated_conjecture,
~ ! [X0,X1] :
( ( test(X1)
& test(X0) )
=> multiplication(multiplication(addition(X0,X1),c(X0)),c(X1)) = zero ),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
? [X0,X1] :
( zero != multiplication(multiplication(addition(X0,X1),c(X0)),c(X1))
& test(X1)
& test(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f20,plain,
? [X0,X1] :
( zero != multiplication(multiplication(addition(X0,X1),c(X0)),c(X1))
& test(X1)
& test(X0) ),
inference(flattening,[],[f19]) ).
fof(f22,plain,
! [X0,X1] :
( ( c(X0) = X1
<=> complement(X0,X1) )
| ~ test(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f23,plain,
( zero != multiplication(multiplication(addition(sK0,sK1),c(sK0)),c(sK1))
& test(sK1)
& test(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f20]) ).
fof(f24,plain,
! [X0,X1] :
( ( complement(X1,X0)
| zero != multiplication(X0,X1)
| zero != multiplication(X1,X0)
| addition(X0,X1) != one )
& ( ( multiplication(X0,X1) = zero
& multiplication(X1,X0) = zero
& addition(X0,X1) = one )
| ~ complement(X1,X0) ) ),
inference(nnf_transformation,[],[f14]) ).
fof(f25,plain,
! [X0,X1] :
( ( complement(X1,X0)
| zero != multiplication(X0,X1)
| zero != multiplication(X1,X0)
| addition(X0,X1) != one )
& ( ( multiplication(X0,X1) = zero
& multiplication(X1,X0) = zero
& addition(X0,X1) = one )
| ~ complement(X1,X0) ) ),
inference(flattening,[],[f24]) ).
fof(f27,plain,
! [X0,X1] :
( ( ( c(X0) = X1
| ~ complement(X0,X1) )
& ( complement(X0,X1)
| c(X0) != X1 ) )
| ~ test(X0) ),
inference(nnf_transformation,[],[f22]) ).
fof(f31,plain,
test(sK0),
inference(cnf_transformation,[],[f23]) ).
fof(f32,plain,
test(sK1),
inference(cnf_transformation,[],[f23]) ).
fof(f33,plain,
zero != multiplication(multiplication(addition(sK0,sK1),c(sK0)),c(sK1)),
inference(cnf_transformation,[],[f23]) ).
fof(f34,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| addition(X0,X1) = one ),
inference(cnf_transformation,[],[f25]) ).
fof(f35,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| zero = multiplication(X1,X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f40,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f41,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f42,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f43,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f44,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f45,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f47,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f11]) ).
fof(f49,plain,
! [X0,X1] :
( complement(X0,X1)
| c(X0) != X1
| ~ test(X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f53,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f54,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f55,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f56,plain,
! [X0] :
( complement(X0,c(X0))
| ~ test(X0) ),
inference(equality_resolution,[],[f49]) ).
fof(f57,plain,
zero != multiplication(addition(sK0,sK1),multiplication(c(sK0),c(sK1))),
inference(forward_demodulation,[],[f33,f55]) ).
fof(f58,plain,
! [X0] :
( one = addition(c(X0),X0)
| ~ test(X0) ),
inference(resolution,[],[f34,f56]) ).
fof(f59,plain,
! [X0] :
( ~ test(X0)
| one = addition(X0,c(X0)) ),
inference(forward_demodulation,[],[f58,f45]) ).
fof(f60,plain,
one = addition(sK1,c(sK1)),
inference(resolution,[],[f59,f32]) ).
fof(f61,plain,
one = addition(sK0,c(sK0)),
inference(resolution,[],[f59,f31]) ).
fof(f69,plain,
! [X0] :
( ~ test(X0)
| zero = multiplication(X0,c(X0)) ),
inference(resolution,[],[f35,f56]) ).
fof(f70,plain,
zero = multiplication(sK1,c(sK1)),
inference(resolution,[],[f69,f32]) ).
fof(f71,plain,
zero = multiplication(sK0,c(sK0)),
inference(resolution,[],[f69,f31]) ).
fof(f100,plain,
! [X0] : addition(zero,X0) = X0,
inference(superposition,[],[f45,f43]) ).
fof(f103,plain,
! [X0] : multiplication(zero,X0) = multiplication(sK0,multiplication(c(sK0),X0)),
inference(superposition,[],[f55,f71]) ).
fof(f104,plain,
! [X0] : multiplication(zero,X0) = multiplication(sK1,multiplication(c(sK1),X0)),
inference(superposition,[],[f55,f70]) ).
fof(f111,plain,
! [X0] : zero = multiplication(sK1,multiplication(c(sK1),X0)),
inference(forward_demodulation,[],[f104,f47]) ).
fof(f112,plain,
! [X0] : zero = multiplication(sK0,multiplication(c(sK0),X0)),
inference(forward_demodulation,[],[f103,f47]) ).
fof(f123,plain,
! [X0,X1] : multiplication(addition(sK1,X0),multiplication(c(sK1),X1)) = addition(zero,multiplication(X0,multiplication(c(sK1),X1))),
inference(superposition,[],[f40,f111]) ).
fof(f124,plain,
! [X0,X1] : multiplication(X0,multiplication(c(sK1),X1)) = multiplication(addition(sK1,X0),multiplication(c(sK1),X1)),
inference(forward_demodulation,[],[f123,f100]) ).
fof(f156,plain,
! [X0,X1] : multiplication(addition(sK0,X0),multiplication(c(sK0),X1)) = addition(zero,multiplication(X0,multiplication(c(sK0),X1))),
inference(superposition,[],[f40,f112]) ).
fof(f157,plain,
! [X0,X1] : multiplication(X0,multiplication(c(sK0),X1)) = multiplication(addition(sK0,X0),multiplication(c(sK0),X1)),
inference(forward_demodulation,[],[f156,f100]) ).
fof(f282,plain,
! [X2,X3,X0,X1] : addition(multiplication(X0,X1),addition(multiplication(X0,X2),X3)) = addition(multiplication(X0,addition(X1,X2)),X3),
inference(superposition,[],[f44,f41]) ).
fof(f284,plain,
! [X0] : addition(one,X0) = addition(sK0,addition(c(sK0),X0)),
inference(superposition,[],[f44,f61]) ).
fof(f526,plain,
zero != multiplication(sK1,multiplication(c(sK0),c(sK1))),
inference(superposition,[],[f57,f157]) ).
fof(f573,plain,
addition(sK0,c(sK0)) = addition(one,c(sK0)),
inference(superposition,[],[f284,f42]) ).
fof(f588,plain,
one = addition(one,c(sK0)),
inference(forward_demodulation,[],[f573,f61]) ).
fof(f712,plain,
! [X0] : multiplication(X0,c(sK1)) = multiplication(addition(sK1,X0),c(sK1)),
inference(superposition,[],[f124,f54]) ).
fof(f877,plain,
! [X2,X3,X0,X1] : addition(multiplication(X0,addition(X3,X2)),multiplication(X1,X2)) = addition(multiplication(X0,X3),multiplication(addition(X0,X1),X2)),
inference(superposition,[],[f282,f40]) ).
fof(f1033,plain,
! [X0,X1] : addition(multiplication(X0,one),multiplication(X1,c(sK0))) = addition(multiplication(X0,one),multiplication(addition(X0,X1),c(sK0))),
inference(superposition,[],[f877,f588]) ).
fof(f1200,plain,
! [X0,X1] : addition(X0,multiplication(X1,c(sK0))) = addition(X0,multiplication(addition(X0,X1),c(sK0))),
inference(forward_demodulation,[],[f1033,f54]) ).
fof(f1596,plain,
addition(sK1,multiplication(c(sK1),c(sK0))) = addition(sK1,multiplication(one,c(sK0))),
inference(superposition,[],[f1200,f60]) ).
fof(f1659,plain,
addition(sK1,multiplication(c(sK1),c(sK0))) = addition(sK1,c(sK0)),
inference(forward_demodulation,[],[f1596,f53]) ).
fof(f2087,plain,
multiplication(multiplication(c(sK1),c(sK0)),c(sK1)) = multiplication(addition(sK1,c(sK0)),c(sK1)),
inference(superposition,[],[f712,f1659]) ).
fof(f2104,plain,
multiplication(c(sK0),c(sK1)) = multiplication(multiplication(c(sK1),c(sK0)),c(sK1)),
inference(forward_demodulation,[],[f2087,f712]) ).
fof(f2110,plain,
multiplication(c(sK0),c(sK1)) = multiplication(c(sK1),multiplication(c(sK0),c(sK1))),
inference(forward_demodulation,[],[f2104,f55]) ).
fof(f2118,plain,
zero = multiplication(sK1,multiplication(c(sK0),c(sK1))),
inference(superposition,[],[f111,f2110]) ).
fof(f2136,plain,
$false,
inference(forward_subsumption_resolution,[],[f2118,f526]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE015+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.39 % Computer : n026.cluster.edu
% 0.14/0.39 % Model : x86_64 x86_64
% 0.14/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.39 % Memory : 8046.5625MB
% 0.14/0.39 % OS : Linux 6.8.0-71-generic
% 0.14/0.39 % CPULimit : 300
% 0.14/0.39 % WCLimit : 300
% 0.14/0.39 % DateTime : Sun Sep 27 13:01:26 UTC 2026
% 0.14/0.39 % CPUTime :
% 0.14/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.42 Running first-order theorem proving
% 0.14/0.43 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.87/2.80 % (2827632)Detected formulas, will run a generic FOF schedule.
% 12.87/2.80 % (2827704)dis-21_1_sil=8000:lcm=predicate:random_seed=1574375227:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 12.87/2.80 % (2827704)Refutation not found, incomplete strategy
% 12.87/2.80 % (2827704)------------------------------
% 12.87/2.80 % (2827704)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.87/2.80 % (2827704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.87/2.80 % (2827704)CaDiCaL version: 2.1.3
% 12.87/2.80 % (2827704)Termination reason: Refutation not found, incomplete strategy
% 12.87/2.80 % (2827704)Time elapsed: 0.002 s
% 12.87/2.80 % (2827704)Peak memory usage: 88 MB
% 12.87/2.80 % (2827704)Instructions burned: 2 (million)
% 12.87/2.80 % (2827699)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1891496200:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 12.87/2.80 % (2827701)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2228048955:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 12.87/2.80 % (2827701)Refutation not found, incomplete strategy
% 12.87/2.80 % (2827701)------------------------------
% 12.87/2.80 % (2827701)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.87/2.80 % (2827701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.87/2.80 % (2827701)CaDiCaL version: 2.1.3
% 12.87/2.80 % (2827701)Termination reason: Refutation not found, incomplete strategy
% 12.87/2.80 % (2827701)Time elapsed: 0.003 s
% 12.87/2.80 % (2827701)Peak memory usage: 88 MB
% 12.87/2.80 % (2827701)Instructions burned: 1 (million)
% 12.87/2.80 % (2827702)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=246218529:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 12.87/2.80 % (2827703)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2164173485:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 12.87/2.80 % (2827698)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=4178319043:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 12.87/2.80 % (2827700)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2745038611:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 12.87/2.80 % (2827703)Instruction limit reached!
% 12.87/2.80 % (2827703)------------------------------
% 12.87/2.80 % (2827703)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.87/2.80 % (2827703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.87/2.80 % (2827703)CaDiCaL version: 2.1.3
% 12.87/2.80 % (2827703)Termination reason: Instruction limit
% 12.87/2.80 % (2827703)Termination phase: Saturation
% 12.87/2.80 % (2827703)Time elapsed: 0.108 s
% 12.87/2.80 % (2827703)Peak memory usage: 90 MB
% 12.87/2.80 % (2827703)Instructions burned: 139 (million)
% 12.87/2.80 % (2827702)Instruction limit reached!
% 12.87/2.80 % (2827702)------------------------------
% 12.87/2.80 % (2827702)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.87/2.80 % (2827702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.87/2.80 % (2827702)CaDiCaL version: 2.1.3
% 12.87/2.80 % (2827702)Termination reason: Instruction limit
% 12.87/2.80 % (2827702)Termination phase: Saturation
% 12.87/2.80 % (2827702)Time elapsed: 0.114 s
% 12.87/2.80 % (2827702)Peak memory usage: 88 MB
% 12.87/2.80 % (2827702)Instructions burned: 119 (million)
% 12.87/2.80 % (2827704)------------------------------
% 12.87/2.80 % (2827704)------------------------------
% 12.87/2.80 % (2827724)lrs+10_1_sil=8000:sp=occurrence:random_seed=3813400687:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 12.87/2.80 % (2827726)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4054532266:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 12.87/2.80 % (2827725)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1581309341:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 12.87/2.80 % (2827701)------------------------------
% 12.87/2.80 % (2827701)------------------------------
% 12.87/2.80 % (2827725)Instruction limit reached!
% 12.87/2.80 % (2827725)------------------------------
% 12.87/2.80 % (2827725)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.87/2.80 % (2827725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.87/2.80 % (2827725)CaDiCaL version: 2.1.3
% 12.87/2.80 % (2827725)Termination reason: Instruction limit
% 12.87/2.80 % (2827725)Termination phase: Saturation
% 12.87/2.80 % (2827725)Time elapsed: 0.147 s
% 12.87/2.80 % (2827725)Peak memory usage: 90 MB
% 12.87/2.80 % (2827725)Instructions burned: 158 (million)
% 12.87/2.80 % (2827726)Instruction limit reached!
% 12.87/2.80 % (2827726)------------------------------
% 12.87/2.80 % (2827726)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.87/2.80 % (2827726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.87/2.80 % (2827726)CaDiCaL version: 2.1.3
% 12.87/2.80 % (2827726)Termination reason: Instruction limit
% 12.87/2.80 % (2827726)Termination phase: Saturation
% 12.87/2.80 % (2827726)Time elapsed: 0.193 s
% 12.87/2.80 % (2827726)Peak memory usage: 91 MB
% 12.87/2.80 % (2827726)Instructions burned: 326 (million)
% 12.87/2.80 % (2827731)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1111238858:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 12.87/2.80 % (2827724)Instruction limit reached!
% 12.87/2.80 % (2827724)------------------------------
% 12.87/2.80 % (2827724)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.87/2.80 % (2827724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.87/2.80 % (2827724)CaDiCaL version: 2.1.3
% 12.87/2.80 % (2827724)Termination reason: Instruction limit
% 12.87/2.80 % (2827724)Termination phase: Saturation
% 12.87/2.80 % (2827724)Time elapsed: 0.274 s
% 12.87/2.80 % (2827724)Peak memory usage: 91 MB
% 12.87/2.80 % (2827724)Instructions burned: 286 (million)
% 12.87/2.80 % (2827731)Instruction limit reached!
% 12.87/2.80 % (2827731)------------------------------
% 12.87/2.80 % (2827731)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.87/2.80 % (2827731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.87/2.80 % (2827731)CaDiCaL version: 2.1.3
% 12.87/2.80 % (2827731)Termination reason: Instruction limit
% 12.87/2.80 % (2827731)Termination phase: Saturation
% 12.87/2.80 % (2827731)Time elapsed: 0.167 s
% 12.87/2.80 % (2827731)Peak memory usage: 91 MB
% 12.87/2.80 % (2827731)Instructions burned: 249 (million)
% 12.87/2.80 % (2827735)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=860802005:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2992 on theBenchmark for (2992ds/294Mi)
% 12.87/2.80 % (2827738)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2829961780:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 12.87/2.80 % (2827740)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3267413797:cts=off:i=113:fsr=off:ss=included:sgt=4_2991 on theBenchmark for (2991ds/113Mi)
% 12.87/2.80 % (2827744)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3108591918:i=127:av=off:fsr=off:sup=off_2990 on theBenchmark for (2990ds/127Mi)
% 12.87/2.80 % (2827744)Instruction limit reached!
% 12.87/2.80 % (2827744)------------------------------
% 12.87/2.80 % (2827744)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.87/2.80 % (2827744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.87/2.80 % (2827744)CaDiCaL version: 2.1.3
% 12.87/2.80 % (2827744)Termination reason: Instruction limit
% 12.87/2.80 % (2827744)Termination phase: Saturation
% 12.87/2.80 % (2827744)Time elapsed: 0.059 s
% 12.87/2.80 % (2827744)Peak memory usage: 88 MB
% 12.87/2.80 % (2827744)Instructions burned: 128 (million)
% 12.87/2.80 % (2827740)Instruction limit reached!
% 12.87/2.80 % (2827740)------------------------------
% 12.87/2.80 % (2827740)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.87/2.80 % (2827740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.87/2.80 % (2827740)CaDiCaL version: 2.1.3
% 12.87/2.80 % (2827740)Termination reason: Instruction limit
% 12.87/2.80 % (2827740)Termination phase: Saturation
% 12.87/2.80 % (2827740)Time elapsed: 0.136 s
% 12.87/2.80 % (2827740)Peak memory usage: 90 MB
% 12.87/2.80 % (2827740)Instructions burned: 113 (million)
% 12.87/2.80 % (2827735)Instruction limit reached!
% 12.87/2.80 % (2827735)------------------------------
% 12.87/2.80 % (2827735)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.87/2.80 % (2827735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.87/2.80 % (2827735)CaDiCaL version: 2.1.3
% 12.87/2.80 % (2827735)Termination reason: Instruction limit
% 12.87/2.80 % (2827735)Termination phase: Saturation
% 12.87/2.80 % (2827735)Time elapsed: 0.277 s
% 12.87/2.80 % (2827735)Peak memory usage: 89 MB
% 12.87/2.80 % (2827735)Instructions burned: 295 (million)
% 12.87/2.80 % (2827749)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=146573674:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2988 on theBenchmark for (2988ds/114Mi)
% 12.87/2.80 % (2827750)lrs+10_1_sil=8000:sp=occurrence:random_seed=4211722611:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2988 on theBenchmark for (2988ds/907Mi)
% 12.87/2.80 % (2827749)Instruction limit reached!
% 12.87/2.80 % (2827749)------------------------------
% 12.87/2.80 % (2827749)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.87/2.80 % (2827749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.87/2.80 % (2827749)CaDiCaL version: 2.1.3
% 12.87/2.80 % (2827749)Termination reason: Instruction limit
% 12.87/2.80 % (2827749)Termination phase: Saturation
% 12.87/2.80 % (2827749)Time elapsed: 0.061 s
% 12.87/2.80 % (2827749)Peak memory usage: 89 MB
% 12.87/2.80 % (2827749)Instructions burned: 116 (million)
% 12.87/2.80 % (2827751)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2780149993:i=437:sd=1:aac=none:ss=included_2987 on theBenchmark for (2987ds/437Mi)
% 12.87/2.80 % (2827699)First to succeed.
% 12.87/2.80 % (2827699)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2827632"
% 12.87/2.80 % (2827698)Also succeeded, but the first one will report.
% 12.87/2.80 % (2827756)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=459833744:i=5202:ss=axioms:sgt=16_2986 on theBenchmark for (2986ds/5202Mi)
% 12.87/2.80 % (2827750)Instruction limit reached!
% 12.87/2.80 % (2827750)------------------------------
% 12.87/2.80 % (2827750)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.87/2.80 % (2827750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.87/2.80 % (2827750)CaDiCaL version: 2.1.3
% 12.87/2.80 % (2827750)Termination reason: Instruction limit
% 12.87/2.80 % (2827750)Termination phase: Saturation
% 12.87/2.80 % (2827750)Time elapsed: 0.442 s
% 12.87/2.80 % (2827750)Peak memory usage: 95 MB
% 12.87/2.80 % (2827750)Instructions burned: 907 (million)
% 12.87/2.80 % (2827751)Instruction limit reached!
% 12.87/2.80 % (2827751)------------------------------
% 12.87/2.80 % (2827751)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.87/2.80 % (2827751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.87/2.80 % (2827751)CaDiCaL version: 2.1.3
% 12.87/2.80 % (2827751)Termination reason: Instruction limit
% 12.87/2.80 % (2827751)Termination phase: Saturation
% 12.87/2.80 % (2827751)Time elapsed: 0.343 s
% 12.87/2.80 % (2827751)Peak memory usage: 90 MB
% 12.87/2.80 % (2827751)Instructions burned: 437 (million)
% 12.87/2.80 % (2827699)Refutation found. Thanks to Tanya!
% 12.87/2.80 % SZS status Theorem for theBenchmark
% 12.87/2.80 % SZS output start Proof for theBenchmark
% See solution above
% 14.10/3.09 % (2827699)------------------------------
% 14.10/3.09 % (2827699)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.10/3.09 % (2827699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.10/3.09 % (2827699)CaDiCaL version: 2.1.3
% 14.10/3.09 % (2827699)Termination reason: Refutation
% 14.10/3.09 % (2827699)Time elapsed: 1.271 s
% 14.10/3.09 % (2827699)Peak memory usage: 132 MB
% 14.10/3.09 % (2827699)Instructions burned: 1200 (million)
% 14.10/3.09 % (2827699)------------------------------
% 14.10/3.09 % (2827699)------------------------------
% 14.10/3.09 % (2827632)Success in time 1.916 s
% 14.10/3.09 % Vampire exiting
%------------------------------------------------------------------------------